(3x+28)+(12x-28)=180(5x+8y)

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Solution for (3x+28)+(12x-28)=180(5x+8y) equation:


Simplifying
(3x + 28) + (12x + -28) = 180(5x + 8y)

Reorder the terms:
(28 + 3x) + (12x + -28) = 180(5x + 8y)

Remove parenthesis around (28 + 3x)
28 + 3x + (12x + -28) = 180(5x + 8y)

Reorder the terms:
28 + 3x + (-28 + 12x) = 180(5x + 8y)

Remove parenthesis around (-28 + 12x)
28 + 3x + -28 + 12x = 180(5x + 8y)

Reorder the terms:
28 + -28 + 3x + 12x = 180(5x + 8y)

Combine like terms: 28 + -28 = 0
0 + 3x + 12x = 180(5x + 8y)
3x + 12x = 180(5x + 8y)

Combine like terms: 3x + 12x = 15x
15x = 180(5x + 8y)
15x = (5x * 180 + 8y * 180)
15x = (900x + 1440y)

Solving
15x = 900x + 1440y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-900x' to each side of the equation.
15x + -900x = 900x + -900x + 1440y

Combine like terms: 15x + -900x = -885x
-885x = 900x + -900x + 1440y

Combine like terms: 900x + -900x = 0
-885x = 0 + 1440y
-885x = 1440y

Divide each side by '-885'.
x = -1.627118644y

Simplifying
x = -1.627118644y

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